Classification and soliton for a generalized fourth-order dispersive nonlinear Schrödinger equation in a Heisenberg spin chain
DOI10.1142/s0218127422501978zbMath1541.35468MaRDI QIDQ6537521
Publication date: 14 May 2024
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)
bifurcationsolitary wave solutionperiodic wave solutionkink (anti-kink) wave solutioncompacton solution
Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32) Statistical mechanics of magnetic materials (82D40) Traveling wave solutions (35C07) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Soliton spin excitations in a Heisenberg helimagnet
- Effect of twist inhomogeneity on soliton spin excitations in a helimagnet
- Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation
- Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation
- Analytic study on a \((2+1)\)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetism
- Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system
- Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics
- Quantitative analysis on the bifurcations and exact travelling wave solutions of a generalized fourth-order dispersive nonlinear Schrödinger equation in Heisenberg spin chain
- Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber
- Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system
- Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves
- Heisenberg spins on a cone: an interplay between geometry and magnetism
- Analytic studies on a generalized inhomogeneous higher-order nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain
- The soliton wave solutions and bifurcations of the \((2 + 1)\)-dimensional dissipative long wave equation
- Exact Traveling Wave Solutions and Bifurcations for a Shallow Water Equation Modeling Surface Waves of Moderate Amplitude
- Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation
- ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
- TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS
- Bifurcations and Traveling Wave Solutions of Lakshmanan–Porsezian–Daniel Equation with Parabolic Law Nonlinearity
- Bilinear forms through the binary Bell polynomials, N solitons and Bäcklund transformations of the Boussinesq–Burgers system for the shallow water waves in a lake or near an ocean beach
- On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain
- Dynamics of solutions of some travelling wave systems determined by integrable Liénard system
- The Spontaneous Magnetization of a Two-Dimensional Ising Model
- Symmetry Reductions, Group‐Invariant Solutions, and Conservation Laws of a (2+1)‐Dimensional Nonlinear Schrödinger Equation in a Heisenberg Ferromagnetic Spin Chain
- Similarity reductions for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
This page was built for publication: Classification and soliton for a generalized fourth-order dispersive nonlinear Schrödinger equation in a Heisenberg spin chain
